165.7 is what percent of 283.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 283.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 165.7 of the output value, so we can write it down as x%=165.7.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=165.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=283.2/165.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.7 is what percent of 283.2

100%/x%=283.2/165.7
(100/x)*x=(283.2/165.7)*x       - we multiply both sides of the equation by x
100=1.7091128545564*x       - we divide both sides of the equation by (1.7091128545564) to get x
100/1.7091128545564=x
58.50988700565=x
x=58.50988700565

now we have:
165.7 is 58.50988700565% of 283.2